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Finding the Third Proportional to 165,897 and 362,841

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Solution

The third proportional to 165,897 and 362,841 is: 793,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,897 : 362,841 = 362,841 : x
  2. Step 2: Convert to fraction form
    165,897/362,841 = 362,841/x
  3. Step 3: Cross multiply
    165,897x = 362,841 × 362,841
  4. Step 4: Simplify right side
    165,897x = 131,653,591,281
  5. Step 5: Solve for x
    x = 131,653,591,281/165,897
  6. Step 6: Final answer
    x = 793,586.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.